The Common Core State Standards Initiative stresses the importance of developing a geometric and algebraic understanding of complex numbers in their different forms (i.e., Cartesian, polar and exponential). Unfortunately, most high school textbooks do not offer such explanations much less exercises that encourage students to bridge geometric and…

This study investigated longitudinal pathways leading from early spatial skills in first-grade girls to their fifth-grade analytical math reasoning abilities (N = 138). First-grade assessments included spatial skills, verbal skills, addition/subtraction skills, and frequency of choice of a decomposition or retrieval strategy on the…

Teaching an eight-year-old girl with learning difficulties a more advanced addition strategy through multicomponent self-regulation training and a self-instructional model resulted in more rapid problem solving, fewer learning errors, and the acquisition of even more advanced addition strategies. (SLD)